What is the Greatest Common Factor of 67824 and 67843?

Greatest common factor (GCF) of 67824 and 67843 is 1.

GCF(67824,67843) = 1

We will now calculate the prime factors of 67824 and 67843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67824 and 67843.

How to find the GCF of 67824 and 67843?

We will first find the prime factorization of 67824 and 67843. After we will calculate the factors of 67824 and 67843 and find the biggest common factor number .

Step-1: Prime Factorization of 67824

Prime factors of 67824 are 2, 3, 157. Prime factorization of 67824 in exponential form is:

67824 = 2⁴ × 3³ × 157¹

Step-2: Prime Factorization of 67843

Prime factors of 67843 are 67843. Prime factorization of 67843 in exponential form is:

67843 = 67843¹

Step-3: Factors of 67824

List of positive integer factors of 67824 that divides 67824 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 157, 216, 314, 432, 471, 628, 942, 1256, 1413, 1884, 2512, 2826, 3768, 4239, 5652, 7536, 8478, 11304, 16956, 22608, 33912

Step-4: Factors of 67843

List of positive integer factors of 67843 that divides 67824 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67824 and 67843. The biggest common factor number is the GCF number.
So the greatest common factor 67824 and 67843 is 1.

Also check out the Least Common Multiple of 67824 and 67843